I really have no idea if Utah requires lab testing for certain items, but they probably do on these kind of items. You should get in touch with Rebecca Nielsen, who is the cottage food coordinator for UT — her number is 801-538-7152.
We do require pH and Aw testing for canned goods. The reason is that only “formulated acid” foods (pH less than 4.6 AND less than 10% of ingredients are non-acidic) can be produced without needing federal registration. Producers of acidified and low acid canned goods must register with FDA, so they cannot be in a cottage food establishment (as that would violate FDA regulations). Pickles are considered an acidified food, so we do not permit them in cottage food establishments in Utah.